Abstract Regular Polytopes

Name: Abstract Regular Polytopes
Price: 94.43 USD
Availability: InStock
ISBN: 9780521814966

ISBN-10: 0521814960

ISBN-13: 9780521814966

Edition: 2002

Authors: Peter McMullen, Egon Schulte, B. Doran, P. Flajolet, M. Ismail

List price: $194.00

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Description:

Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra. They are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties; in many ways more fascinating than traditional regular polytopes and tessellations. The rapid development of the subject in the past 20 years has resulted in a rich new theory, featuring an attractive interplay of mathematical areas, including geometry, combinatorics, group theory and topology. Abstract regular polytopes and their groups provide an appealing new approach to understanding geometric and combinatorial symmetry. This is…

Book details

List price: $194.00
Copyright year: 2002
Publisher: Cambridge University Press
Publication date: 12/12/2002
Binding: Hardcover
Pages: 566
Size: 6.25" wide x 9.25" long x 1.00" tall
Weight: 1.298
Language: English



Foreword



Classical regular polytopes



Regular polytopes



Coxeter groups



Amalgamation



Realizations



Regular polytopes on space-forms



Mixing



Twisting



Unitary groups and hermitian forms



Locally toroidal 4-polytopes: I



Locally toroidal 4-polytopes: II



Higher toroidal polytopes



Regular polytopes related to linear groups



Miscellaneous classes of regular polytopes


Bibliography


Indices